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Simplifying 2(13x + 14) = 2(2x + -10) Reorder the terms: 2(14 + 13x) = 2(2x + -10) (14 * 2 + 13x * 2) = 2(2x + -10) (28 + 26x) = 2(2x + -10) Reorder the terms: 28 + 26x = 2(-10 + 2x) 28 + 26x = (-10 * 2 + 2x * 2) 28 + 26x = (-20 + 4x) Solving 28 + 26x = -20 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 28 + 26x + -4x = -20 + 4x + -4x Combine like terms: 26x + -4x = 22x 28 + 22x = -20 + 4x + -4x Combine like terms: 4x + -4x = 0 28 + 22x = -20 + 0 28 + 22x = -20 Add '-28' to each side of the equation. 28 + -28 + 22x = -20 + -28 Combine like terms: 28 + -28 = 0 0 + 22x = -20 + -28 22x = -20 + -28 Combine like terms: -20 + -28 = -48 22x = -48 Divide each side by '22'. x = -2.181818182 Simplifying x = -2.181818182
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